122211223330121 has 2 divisors, whose sum is σ = 122211223330122. Its totient is φ = 122211223330120.

The previous prime is 122211223330109. The next prime is 122211223330169. The reversal of 122211223330121 is 121033322112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115758663174400 + 6452560155721 = 10759120^2 + 2540189^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211223330121 - 2⁶ = 122211223330057 is a prime.

It is a super-2 number, since 2×122211223330121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122211223330171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105611665060 + 61105611665061.

It is an arithmetic number, because the mean of its divisors is an integer number (61105611665061).

Almost surely, 2^{122211223330121} is an apocalyptic number.

It is an amenable number.

122211223330121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211223330121 is an equidigital number, since it uses as much as digits as its factorization.

122211223330121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122211223330121 its reverse (121033322112221), we get a palindrome (243244545442342).

The spelling of 122211223330121 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-three million, three hundred thirty thousand, one hundred twenty-one".